Define function without Sec[x] , I want 1/Sin[2x]

Questions
1

f[x_] := (E^(3 x + 2))/Sin[2*x]
gives

E^(2 + 3 x) Csc[2 x]

I dont want that

2

Hi, I would define it as follows.

f[x_] := (E^(3 x + 2))HoldForm[(1/Sin[2*x])]

If you type in f[x] , it returns e^(3x+2) (1/Sin[2x])

In order to evaluate it at any time,

ReleaseHold[ f[x]] /. x -> Pi/4
3

How about using Format

     Format[f[x_]] := (E^(3 x + 2))/Sin[2*x] /. Csc[z__] :> HoldForm[ 1/Sin[z]]
     r = f[4 x]

2552Untitled.png
2552Untitled.png572×119 2.37 KB

Then

     r /. x -> Pi/3
    (*  (2*E^(2 + 4*Pi))/Sqrt[3]  *)

    r = f[1]
    (* E^5 1/Sin[2] *)

    N[%]
    (* 163.217 *)